Answer: y = 0.25*f(x - A) + 3
Step-by-step explanation:
Initially we have the graph of y = f(x)
If we do a vertical compression, this means that we multiply the function by the scale factor, in this case the scale factor is 0.25
So now our graph is y = 0.25*f(x)
A translation to the right by A units means that now we valuate the function in x - A, in this case A = 4, so our graph now is:
y = 0.25*f(x - 4)
A vertical translation means that we add a constant to the function, if the constant is positive the tranlsation is upwards, if the constant is negative the translation is downwards.
Here the translation is of 3 units upwards, so our new graph is:
y = 0.25*f(x - A) + 3
